Here's our equation:
Factor out the left side
(-2x - 3) - 4 = 3/4 (-8x - 12)
Simplify
-2x - 7 = 3/4 (-8x - 12)
Factor out the right side
-2x - 7 = -6x - 9
Add 7
-2x = 6x - 2
Add 6x to isolate the variable
4x = -2
Divide by 4
x = - 1/2
Here is how I simplified both sides initially. I'll only be showing the right side because this is a LOT of typing.
Begin with 3/4 (-8x - 12)
Use rule 
to multiply
3(-8x-12)/4
Factor 3(-8x-12)
(-8x - 12) = (-4 * 2x - 4 * 3)
Simplify (-4 * 2x - 4 * 3)
-3 * 4 (2x+3)
- 12 (2x + 3)
Now that we've factored 3/4 (-8x - 12), we're left with- 12 (2x + 3)/4.
12/4 =3, giving us -3(2x + 3)
Distribute and simplify, then you're done.
Answer:
Step-by-step explanation:
[(2 hours)/(1 day)](14 days)=(18+x)hours
Let's note that the unit of day is in the numerator and denominator. It cancels
[(2 hours)/(1 day)](14 days)=(18 hours)+(x hours)
(2 hours)(14)=(18+x)hours
Let's note that the unit of hours is in the numerators of both sides of the equation. It cancels
(2 hours)(14)=(18+x)hours
(2)(14)=18+x
28=18+x
10=x
HE WILL HAVE TO STUDY 10 HOURS.
a regular hexagon has 6 sides so divide the perimeter by number of sides to find the length
15/6 = 2.5 cm
Answer:
A Median is the middle data value of an ordered data set, so, that leads me to believe your answer is 6.
Hope this helps!!
Have a nice day :)
Step-by-step explanation:
The dot product is a technique that solves the resultant vector through the use of matrices. Since we have no coordinates, we can't use matrices. However, we can still solve the resultant vector (red line) through cosine law. The solution is as follows:
R² = 4² + (1/2)² - 2(4)(1/2)(cos π/4)
R = √13.42
R = 3.66
The resultant vector has a magnitude of 3.66.
